关键词: 量子隐形传态/
推广振幅衰减/
弱测量/
量子Fisher信息
English Abstract
Enhancement of quantum Fisher information of quantum teleportation by optimizing partial measurements
Wu Ying,Li Jin-Fang,
Liu Jin-Ming
1.State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
Fund Project:Project supported by the National Key Research and Development Program of China (Grant No. 2016YFB0501601) and the National Natural Science Foundation of China (Grant No. 11174081).Received Date:13 February 2018
Accepted Date:03 April 2018
Published Online:20 July 2019
Abstract:The purpose of quantum teleportation is to achieve perfect transmission of quantum information from one site to another distant site. In the teleportation process, the quantum system is inevitably affected by its surrounding environment, causing the system to lose its coherence, which will result in distortion of the transmitted information. In recent years, weak measurement and measurement reversal have been proposed to suppress the decoherence of quantum entanglement and protect some quantum states. On the other hand, quantum Fisher information (QFI) is an important physical quantity in quantum metrology, which can give the optimal value estimating the accuracy of parameters. As is well known, QFI is highly susceptible to environmental noise and can lead its measurement accuracy to decrease. Therefore, it is of great importance to examine how to protect QFI from being influenced by the external circumstance during the teleportation procedure. In this paper, we study how to improve the QFI of teleporting a single-qubit state via a Greenberger-Horne-Zeilinger state in a finite temperature environment with the technique of weak measurement and weak measurement reversal. According to different qubit transmission cases of three quantum teleportation schemes, we consider their respective QFIs in detail. After constructing the quantum logic circuit of each teleportation scheme, we first analyze the variance trend of QFI against the generalized amplitude damping noise parameters. Then by introducing weak measurement and measurement reversal on each noise particle of the three schemes, we optimize the related partial measurement parameters and explore the corresponding improved QFI, namely, the difference between the QFI with optimal partial measurements and that without partial measurements. We find that optimizing partial measurements can efficiently enhance the QFI of the teleported state for the three kinds of teleportation schemes at finite temperature. Moreover, with the value of p fixed, the lower the environment temperature, the larger the value of the improved QFI is. Our results could be useful in further understanding the applications of weak measurement and measurement reversal to the quantum communication process and may shed light on estimating some relevant quantum parameters and implementing quantum information tasks.
Keywords: quantum teleportation/
generalized amplitude damping/
weak measurement/
quantum Fisher information
